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Universality Aspects of Layering Transitions in Ferromagnetic Blume-Capel Thin Films | | Yusuf Yuksel
; Umit Akinci
; | | Date: |
26 Apr 2013 | | Abstract: | Critical phenomena and universality behavior of ferromagnetic thin films
described by a spin-1 Blume-Capel Hamiltonian has been examined for various
thickness values ranging from 3 to 40 layers. Using effective field theory, we
have found that crystal field interactions significantly affects the critical
value of surface to bulk ratio of exchange interactions $R_{c}$ at which the
critical temperature becomes independent of film thickness $L$. Moreover, we
have extracted the shift exponent $lambda$ from computed data. Based on the
results, we have shown that in the presence of surface exchange enhancement,
the system may exhibit a dimensional crossover. We have also found that
presence of crystal field interactions does not affect the value of $lambda$.
Hence, a ferromagnetic spin-1/2 thin film is in the same universality class
with its spin-1 counterpart. | | Source: | arXiv, 1304.7250 | | Services: | Forum | Review | PDF | Favorites | |
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